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Finding the Fourth Proportional to 3,997.99, 5,997.07 and 3,176.84

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Solution

The fourth proportional to 3,997.99, 5,997.07 and 3,176.84 is: 4,765.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.99 : 5,997.07 = 3,176.84 : x
  2. Step 2: Convert to fraction form
    3,997.99/5,997.07 = 3,176.84/x
  3. Step 3: Cross multiply
    3,997.99x = 5,997.07 × 3,176.84
  4. Step 4: Simplify right side
    3,997.99x = 19,051,759.76
  5. Step 5: Solve for x
    x = 19,051,759.76/3,997.99
  6. Step 6: Final answer
    x = 4,765.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.